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Finding the Fourth Proportional to 1,810.07, 2,497.90 and 1,024.28

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Solution

The fourth proportional to 1,810.07, 2,497.90 and 1,024.28 is: 1,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.07 : 2,497.90 = 1,024.28 : x
  2. Step 2: Convert to fraction form
    1,810.07/2,497.90 = 1,024.28/x
  3. Step 3: Cross multiply
    1,810.07x = 2,497.90 × 1,024.28
  4. Step 4: Simplify right side
    1,810.07x = 2,558,536.52
  5. Step 5: Solve for x
    x = 2,558,536.52/1,810.07
  6. Step 6: Final answer
    x = 1,413.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.